Finding the Fourth Proportional to 1,411.79, 1,948.27 and 782.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.79 : 1,948.27 = 782.42 : x
2. Step 2: Convert to fraction form
   1,411.79/1,948.27 = 782.42/x
3. Step 3: Cross multiply
   1,411.79x = 1,948.27 × 782.42
4. Step 4: Simplify right side
   1,411.79x = 1,524,355.18
5. Step 5: Solve for x
   x = 1,524,355.18/1,411.79
6. Step 6: Final answer
   x = 1,079.74